The empirical results show individuals always resort to extra information such as profession and education information besides the target's geography location when routing messages[1]}. Then, real navigation process in social networks may be modeled with a higher dimensional SIFN. In the following, we will discuss the relationship between the high and low dimensional SIFN and prove that a 2-dimensional SIFN can be obtained by any \(k\) -dimensional SIFN (\(k>2\) ). Particularly, we will provide the theoretic analysis for the case where \(k=3\) . The analysis can be generated to any \(k\)  dimensional cases.
